Dello Schiavo, Lorenzo, Eva Kopfer, and Karl Theodor Sturm. “A Discovery Tour in Random Riemannian Geometry.”https://doi.org/10.1007/s11118-023-10118-0__Potential Analysis. Springer Nature, 2024.https://doi.org/10.1007/s11118-023-10118-0 .

Dello Schiavo, Lorenzo. “A Characterization of Maps of Bounded Compression.” Mathematical Communications. Udruga Matematicara Osijek, 2024.

Dello Schiavo, Lorenzo, Lorenzo Portinale, and Federico Sau. “Scaling Limits of Random Walks, Harmonic Profiles, and Stationary Nonequilibrium States in Lipschitz Domains.”https://doi.org/10.1214/23-AAP2007__Annals of Applied Probability. Institute of Mathematical Statistics, 2024.https://doi.org/10.1214/23-AAP2007 .

Dello Schiavo, Lorenzo, and Melchior Wirth. “Ergodic Decompositions of Dirichlet Forms under Order Isomorphisms.”https://doi.org/10.1007/s00028-022-00859-7__Journal of Evolution Equations. Springer Nature, 2023.https://doi.org/10.1007/s00028-022-00859-7 .

Wirth, Melchior, and Haonan Zhang. “Curvature-Dimension Conditions for Symmetric Quantum Markov Semigroups.”https://doi.org/10.1007/s00023-022-01220-x__Annales Henri Poincare. Springer Nature, 2023.https://doi.org/10.1007/s00023-022-01220-x .

Dello Schiavo, Lorenzo. “Ergodic Decomposition of Dirichlet Forms via Direct Integrals and Applications.”https://doi.org/10.1007/s11118-021-09951-y__Potential Analysis. Springer Nature, 2023.https://doi.org/10.1007/s11118-021-09951-y .

Gladbach, Peter, Eva Kopfer, Jan Maas, and Lorenzo Portinale. “Homogenisation of Dynamical Optimal Transport on Periodic Graphs.”https://doi.org/10.1007/s00526-023-02472-z__Calculus of Variations and Partial Differential Equations. Springer Nature, 2023.https://doi.org/10.1007/s00526-023-02472-z .

Feliciangeli, Dario, Augusto Gerolin, and Lorenzo Portinale. “A Non-Commutative Entropic Optimal Transport Approach to Quantum Composite Systems at Positive Temperature.”https://doi.org/10.1016/j.jfa.2023.109963__Journal of Functional Analysis. Elsevier, 2023.https://doi.org/10.1016/j.jfa.2023.109963 .

Hua, Bobo, Matthias Keller, Michael Schwarz, and Melchior Wirth. “Sobolev-Type Inequalities and Eigenvalue Growth on Graphs with Finite Measure.”https://doi.org/10.1090/proc/14361__Proceedings of the American Mathematical Society. American Mathematical Society, 2023.https://doi.org/10.1090/proc/14361 .

Dello Schiavo, Lorenzo, and Eugene Lytvynov. “A Mecke-Type Characterization of the Dirichlet–Ferguson Measure.”https://doi.org/10.1214/23-ECP528__Electronic Communications in Probability. Institute of Mathematical Statistics, 2023.https://doi.org/10.1214/23-ECP528 .

Volberg, Alexander, and Haonan Zhang. “Noncommutative Bohnenblust–Hille Inequalities.”https://doi.org/10.1007/s00208-023-02680-0__Mathematische Annalen. Springer Nature, 2023.https://doi.org/10.1007/s00208-023-02680-0 .

Zhang, Haonan. “Some Convexity and Monotonicity Results of Trace Functionals.”https://doi.org/10.1007/s00023-023-01345-7__Annales Henri Poincare. Springer Nature, 2023.https://doi.org/10.1007/s00023-023-01345-7 .

Vernooij, Matthijs, and Melchior Wirth. “Derivations and KMS-Symmetric Quantum Markov Semigroups.”https://doi.org/10.1007/s00220-023-04795-6__Communications in Mathematical Physics. Springer Nature, 2023.https://doi.org/10.1007/s00220-023-04795-6 .

Olusanya, Oluwafunmilola O, Kseniia Khudiakova, and Himani Sachdeva. “Genetic Load, Eco-Evolutionary Feedback and Extinction in a Metapopulation.”https://doi.org/10.1101/2023.12.02.569702__BioRxiv, n.d.https://doi.org/10.1101/2023.12.02.569702 .

Wirth, Melchior. “Kac Regularity and Domination of Quadratic Forms.”https://doi.org/10.1007/s43036-022-00199-w__Advances in Operator Theory. Springer Nature, 2022.https://doi.org/10.1007/s43036-022-00199-w .

Cremaschi, Tommaso, and Lorenzo Dello Schiavo. “Effective Contraction of Skinning Maps.”https://doi.org/10.1090/bproc/134__Proceedings of the American Mathematical Society, Series B. American Mathematical Society, 2022.https://doi.org/10.1090/bproc/134 .

Dello Schiavo, Lorenzo, and Kohei Suzuki. “Sobolev-to-Lipschitz Property on QCD- Spaces and Applications.”https://doi.org/10.1007/s00208-021-02331-2__Mathematische Annalen. Springer Nature, 2022.https://doi.org/10.1007/s00208-021-02331-2 .

Wirth, Melchior. “A Dual Formula for the Noncommutative Transport Distance.”https://doi.org/10.1007/s10955-022-02911-9__Journal of Statistical Physics. Springer Nature, 2022.https://doi.org/10.1007/s10955-022-02911-9 .

Saona Urmeneta, Raimundo J, Fyodor Kondrashov, and Kseniia Khudiakova. “Relation between the Number of Peaks and the Number of Reciprocal Sign Epistatic Interactions.”https://doi.org/10.1007/s11538-022-01029-z__Bulletin of Mathematical Biology. Springer Nature, 2022.https://doi.org/10.1007/s11538-022-01029-z .

Forkert, Dominik L, Jan Maas, and Lorenzo Portinale. “Evolutionary $\'47amma$-Convergence of Entropic Gradient Flow Structures for Fokker-Planck Equations in Multiple Dimensions.”https://doi.org/10.1137/21M1410968__SIAM Journal on Mathematical Analysis. Society for Industrial and Applied Mathematics, 2022.https://doi.org/10.1137/21M1410968 .

Erbar, Matthias, Dominik L Forkert, Jan Maas, and Delio Mugnolo. “Gradient Flow Formulation of Diffusion Equations in the Wasserstein Space over a Metric Graph.”https://doi.org/10.3934/nhm.2022023__Networks and Heterogeneous Media. American Institute of Mathematical Sciences, 2022.https://doi.org/10.3934/nhm.2022023 .

Akylzhanov, Rauan, Yulia Kuznetsova, Michael Ruzhansky, and Haonan Zhang. “Norms of Certain Functions of a Distinguished Laplacian on the Ax + b Groups.”https://doi.org/10.1007/s00209-022-03143-z__Mathematische Zeitschrift. Springer Nature, 2022.https://doi.org/10.1007/s00209-022-03143-z .

Carlen, Eric A., and Haonan Zhang. “Monotonicity Versions of Epstein’s Concavity Theorem and Related Inequalities.”https://doi.org/10.1016/j.laa.2022.09.001__Linear Algebra and Its Applications. Elsevier, 2022.https://doi.org/10.1016/j.laa.2022.09.001 .

Franceschini, Chiara, Patrícia Gonçalves, and Federico Sau. “Symmetric Inclusion Process with Slow Boundary: Hydrodynamics and Hydrostatics.”https://doi.org/10.3150/21-bej1390__Bernoulli. Bernoulli Society for Mathematical Statistics and Probability, 2022.https://doi.org/10.3150/21-bej1390 .

Floreani, Simone, Frank Redig, and Federico Sau. “Orthogonal Polynomial Duality of Boundary Driven Particle Systems and Non-Equilibrium Correlations.”https://doi.org/10.1214/21-AIHP1163__Annales de l’institut Henri Poincare (B) Probability and Statistics. Institute of Mathematical Statistics, 2022.https://doi.org/10.1214/21-AIHP1163 .

Dello Schiavo, Lorenzo. “The Dirichlet–Ferguson Diffusion on the Space of Probability Measures over a Closed Riemannian Manifold.”https://doi.org/10.1214/21-AOP1541__Annals of Probability. Institute of Mathematical Statistics, 2022.https://doi.org/10.1214/21-AOP1541 .

Karatzas, Ioannis, Jan Maas, and Walter Schachermayer. “Trajectorial Dissipation and Gradient Flow for the Relative Entropy in Markov Chains.”https://doi.org/10.4310/CIS.2021.v21.n4.a1__Communications in Information and Systems. International Press, 2021.https://doi.org/10.4310/CIS.2021.v21.n4.a1 .

Chen, Joe P., and Federico Sau. “Higher-Order Hydrodynamics and Equilibrium Fluctuations of Interacting Particle Systems.” Markov Processes And Related Fields. Polymat Publishing, 2021.

Wirth, Melchior, and Haonan Zhang. “Complete Gradient Estimates of Quantum Markov Semigroups.”https://doi.org/10.1007/s00220-021-04199-4__Communications in Mathematical Physics. Springer Nature, 2021.https://doi.org/10.1007/s00220-021-04199-4 .

Floreani, Simone, Frank Redig, and Federico Sau. “Hydrodynamics for the Partial Exclusion Process in Random Environment.”https://doi.org/10.1016/j.spa.2021.08.006__Stochastic Processes and Their Applications. Elsevier, 2021.https://doi.org/10.1016/j.spa.2021.08.006 .

Dello Schiavo, Lorenzo, and Kohei Suzuki. “Rademacher-Type Theorems and Sobolev-to-Lipschitz Properties for Strongly Local Dirichlet Spaces.”https://doi.org/10.1016/j.jfa.2021.109234__Journal of Functional Analysis. Elsevier, 2021.https://doi.org/10.1016/j.jfa.2021.109234 .

Lenz, Daniel, Timon Weinmann, and Melchior Wirth. “Self-Adjoint Extensions of Bipartite Hamiltonians.”https://doi.org/10.1017/S0013091521000080__Proceedings of the Edinburgh Mathematical Society. Cambridge University Press, 2021.https://doi.org/10.1017/S0013091521000080 .

Portinale, Lorenzo. “Discrete-to-Continuum Limits of Transport Problems and Gradient Flows in the Space of Measures.”https://doi.org/10.15479/at:ista:10030__Institute of Science and Technology Austria, 2021.https://doi.org/10.15479/at:ista:10030 .

Feliciangeli, Dario, Augusto Gerolin, and Lorenzo Portinale. “A Non-Commutative Entropic Optimal Transport Approach to Quantum Composite Systems at Positive Temperature.”https://doi.org/10.48550/arXiv.2106.11217__ArXiv, n.d.https://doi.org/10.48550/arXiv.2106.11217 .

Feliciangeli, Dario. “The Polaron at Strong Coupling.”https://doi.org/10.15479/at:ista:9733__Institute of Science and Technology Austria, 2021.https://doi.org/10.15479/at:ista:9733 .

Lenz, Daniel, Marcel Schmidt, and Melchior Wirth. “Uniqueness of Form Extensions and Domination of Semigroups.”https://doi.org/10.1016/j.jfa.2020.108848__Journal of Functional Analysis. Elsevier, 2021.https://doi.org/10.1016/j.jfa.2020.108848 .

Carlen, Eric A., and Jan Maas. “Non-Commutative Calculus, Optimal Transport and Functional Inequalities  in Dissipative Quantum Systems.”https://doi.org/10.1007/s10955-019-02434-w__Journal of Statistical Physics. Springer Nature, 2020.https://doi.org/10.1007/s10955-019-02434-w .

Akopyan, Arseniy, and Roman Karasev. “Gromov’s Waist of Non-Radial Gaussian Measures and Radial Non-Gaussian Measures.”https://doi.org/10.1007/978-3-030-36020-7_1__In Geometric Aspects of Functional Analysis, edited by Bo’az Klartag and Emanuel Milman, 2256:1–27. LNM. Springer Nature, 2020.https://doi.org/10.1007/978-3-030-36020-7_1 .

Gerencser, Mate. “Nondivergence Form Quasilinear Heat Equations Driven by Space-Time White Noise.”https://doi.org/10.1016/j.anihpc.2020.01.003__Annales de l’Institut Henri Poincaré C, Analyse Non Linéaire. Elsevier, 2020.https://doi.org/10.1016/j.anihpc.2020.01.003 .

Zhang, Haonan. “From Wigner-Yanase-Dyson Conjecture to Carlen-Frank-Lieb Conjecture.”https://doi.org/10.1016/j.aim.2020.107053__Advances in Mathematics. Elsevier, 2020.https://doi.org/10.1016/j.aim.2020.107053 .

Zhang, Haonan. “Equality Conditions of Data Processing Inequality for ;1-z Rényi Relative Entropies.”https://doi.org/10.1063/5.0022787__Journal of Mathematical Physics. AIP Publishing, 2020.https://doi.org/10.1063/5.0022787 .

Maas, Jan, and Alexander Mielke. “Modeling of Chemical Reaction Systems with Detailed Balance Using Gradient Structures.”https://doi.org/10.1007/s10955-020-02663-4__Journal of Statistical Physics. Springer Nature, 2020.https://doi.org/10.1007/s10955-020-02663-4 .

Forkert, Dominik L. “Gradient Flows in Spaces of Probability Measures for Finite-Volume Schemes, Metric Graphs and Non-Reversible Markov Chains.”https://doi.org/10.15479/AT:ISTA:7629__Institute of Science and Technology Austria, 2020.https://doi.org/10.15479/AT:ISTA:7629 .

Gladbach, Peter, Eva Kopfer, Jan Maas, and Lorenzo Portinale. “Homogenisation of One-Dimensional Discrete Optimal Transport.”https://doi.org/10.1016/j.matpur.2020.02.008__Journal de Mathematiques Pures et Appliquees. Elsevier, 2020.https://doi.org/10.1016/j.matpur.2020.02.008 .

Forkert, Dominik L, Jan Maas, and Lorenzo Portinale. “Evolutionary -Convergence of Entropic Gradient Flow Structures for Fokker-Planck Equations in Multiple Dimensions.” ArXiv, n.d.

Gladbach, Peter, Eva Kopfer, and Jan Maas. “Scaling Limits of Discrete Optimal Transport.”https://doi.org/10.1137/19M1243440__SIAM Journal on Mathematical Analysis. Society for Industrial and Applied Mathematics, 2020.https://doi.org/10.1137/19M1243440 .

Dareiotis, Konstantinos, and Mate Gerencser. “On the Regularisation of the Noise for the Euler-Maruyama Scheme with Irregular Drift.”https://doi.org/10.1214/20-EJP479__Electronic Journal of Probability. Institute of Mathematical Statistics, 2020.https://doi.org/10.1214/20-EJP479 .

Redig, Frank, Ellen Saada, and Federico Sau. “Symmetric Simple Exclusion Process in Dynamic Environment: Hydrodynamics.”https://doi.org/10.1214/20-EJP536__Electronic Journal of Probability.https://doi.org/10.1214/20-EJP536__Institute of Mathematical Statistics, 2020.https://doi.org/10.1214/20-EJP536 .

Portinale, Lorenzo, and Ulisse Stefanelli. “Penalization via Global Functionals of Optimal-Control Problems for Dissipative Evolution.” Advances in Mathematical Sciences and Applications. Gakko Tosho, 2019.

Gerencser, Mate, and István Gyöngy. “A Feynman–Kac Formula for Stochastic Dirichlet Problems.”https://doi.org/10.1016/j.spa.2018.04.003__Stochastic Processes and Their Applications. Elsevier, 2019.https://doi.org/10.1016/j.spa.2018.04.003 .

Dareiotis, Konstantinos, Mate Gerencser, and Benjamin Gess. “Entropy Solutions for Stochastic Porous Media Equations.”https://doi.org/10.1016/j.jde.2018.09.012__Journal of Differential Equations. Elsevier, 2019.https://doi.org/10.1016/j.jde.2018.09.012 .

Gerencser, Mate, and Martin Hairer. “Singular SPDEs in Domains with Boundaries.”https://doi.org/10.1007/s00440-018-0841-1__Probability Theory and Related Fields. Springer, 2019.https://doi.org/10.1007/s00440-018-0841-1 .

Gerencser, Mate, and Martin Hairer. “A Solution Theory for Quasilinear Singular SPDEs.”https://doi.org/10.1002/cpa.21816__Communications on Pure and Applied Mathematics. Wiley, 2019.https://doi.org/10.1002/cpa.21816 .

Gerencser, Mate. “Boundary Regularity of Stochastic PDEs.”https://doi.org/10.1214/18-AOP1272__Annals of Probability. Institute of Mathematical Statistics, 2019.https://doi.org/10.1214/18-AOP1272 .

Flandoli, Franco, Enrico Priola, and Giovanni A Zanco. “A Mean-Field Model with Discontinuous Coefficients for Neurons with Spatial Interaction.”https://doi.org/10.3934/dcds.2019126__Discrete and Continuous Dynamical Systems. American Institute of Mathematical Sciences, 2019.https://doi.org/10.3934/dcds.2019126 .

Erbar, Matthias, Jan Maas, and Melchior Wirth. “On the Geometry of Geodesics in Discrete Optimal Transport.”https://doi.org/10.1007/s00526-018-1456-1__Calculus of Variations and Partial Differential Equations. Springer, 2019.https://doi.org/10.1007/s00526-018-1456-1 .

Ferrari, Patrick, Promit Ghosal, and Peter Nejjar. “Limit Law of a Second Class Particle in TASEP with Non-Random Initial Condition.”https://doi.org/10.1214/18-AIHP916__Annales de l’institut Henri Poincare (B) Probability and Statistics. Institute of Mathematical Statistics, 2019.https://doi.org/10.1214/18-AIHP916 .

Flandoli, Franco, Francesco Russo, and Giovanni A Zanco. “Infinite-Dimensional Calculus under Weak Spatial Regularity of the Processes.”https://doi.org/10.1007/s10959-016-0724-2__Journal of Theoretical Probability. Springer, 2018.https://doi.org/10.1007/s10959-016-0724-2 .

Akopyan, Arseniy, and Sergey Avvakumov. “Any Cyclic Quadrilateral Can Be Inscribed in Any Closed Convex Smooth Curve.”https://doi.org/10.1017/fms.2018.7__Forum of Mathematics, Sigma. Cambridge University Press, 2018.https://doi.org/10.1017/fms.2018.7 .

Nejjar, Peter. “Transition to Shocks in TASEP and Decoupling of Last Passage Times.”https://doi.org/10.30757/ALEA.v15-49__Latin American Journal of Probability and Mathematical Statistics. Instituto Nacional de Matematica Pura e Aplicada, 2018.https://doi.org/10.30757/ALEA.v15-49 .

Akopyan, Arseniy, Sergey Avvakumov, and Roman Karasev. “Convex Fair Partitions into Arbitrary Number of Pieces.”https://doi.org/10.48550/arXiv.1804.03057__arXiv, 2018.https://doi.org/10.48550/arXiv.1804.03057 .

Betea, Dan, Jeremie Bouttier, Peter Nejjar, and Mirjana Vuletic. “The Free Boundary Schur Process and Applications I.”https://doi.org/10.1007/s00023-018-0723-1__Annales Henri Poincare. Springer Nature, 2018.https://doi.org/10.1007/s00023-018-0723-1 .

Gerencser, Mate, Arnulf Jentzen, and Diyora Salimova. “On Stochastic Differential Equations with Arbitrarily Slow Convergence Rates for Strong Approximation in Two Space Dimensions.”https://doi.org/10.1098/rspa.2017.0104__Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences. Royal Society of London, 2017.https://doi.org/10.1098/rspa.2017.0104 .

Gerencser, Mate, and István Gyöngy. “Localization Errors in Solving Stochastic Partial Differential Equations in the Whole Space.”https://doi.org/10.1090/mcom/3201__Mathematics of Computation. American Mathematical Society, 2017.https://doi.org/10.1090/mcom/3201 .

Maas, Jan. “Entropic Ricci Curvature for Discrete Spaces.”https://doi.org/10.1007/978-3-319-58002-9_5__In Modern Approaches to Discrete Curvature, edited by Laurent Najman and Pascal Romon, 2184:159–74. Lecture Notes in Mathematics. Springer, 2017.https://doi.org/10.1007/978-3-319-58002-9_5 .

Maas, Jan, Martin Rumpf, and Stefan Simon. “Transport Based Image Morphing with Intensity Modulation.”https://doi.org/10.1007/978-3-319-58771-4_45__edited by François Lauze, Yiqiu Dong, and Anders Bjorholm Dahl, 10302:563–77. Springer, 2017.https://doi.org/10.1007/978-3-319-58771-4_45 .

Carlen, Eric, and Jan Maas. “Gradient Flow and Entropy Inequalities for Quantum Markov Semigroups with Detailed Balance.”https://doi.org/10.1016/j.jfa.2017.05.003__Journal of Functional Analysis. Academic Press, 2017.https://doi.org/10.1016/j.jfa.2017.05.003 .

Ferrari, Patrik, and Peter Nejjar. “Fluctuations of the Competition Interface in Presence of Shocks.”https://doi.org/10.30757/ALEA.v14-17__Revista Latino-Americana de Probabilidade e Estatística. Instituto Nacional de Matematica Pura e Aplicada, 2017.https://doi.org/10.30757/ALEA.v14-17 .

Maas, Jan, and Daniel Matthes. “Long-Time Behavior of a Finite Volume Discretization for a Fourth Order Diffusion Equation.”https://doi.org/10.1088/0951-7715/29/7/1992__Nonlinearity. IOP Publishing Ltd., 2016.https://doi.org/10.1088/0951-7715/29/7/1992 .

Fathi, Max, and Jan Maas. “Entropic Ricci Curvature Bounds for Discrete Interacting Systems.”https://doi.org/10.1214/15-AAP1133__The Annals of Applied Probability. Institute of Mathematical Statistics, 2016.https://doi.org/10.1214/15-AAP1133 .

Erbar, Matthias, Jan Maas, and Michiel Renger. “From Large Deviations to Wasserstein Gradient Flows in Multiple Dimensions.”https://doi.org/10.1214/ECP.v20-4315__Electronic Communications in Probability. Institute of Mathematical Statistics, 2015.https://doi.org/10.1214/ECP.v20-4315 .

Maas, Jan, Martin Rumpf, Carola Schönlieb, and Stefan Simon. “A Generalized Model for Optimal Transport of Images Including Dissipation and Density Modulation.”https://doi.org/10.1051/m2an/2015043__ESAIM: Mathematical Modelling and Numerical Analysis. EDP Sciences, 2015.https://doi.org/10.1051/m2an/2015043 .

Erbar, Matthias, Jan Maas, and Prasad Tetali. “Discrete Ricci Curvature Bounds for Bernoulli-Laplace and Random Transposition Models.”https://doi.org/10.5802/afst.1464__Annales de La Faculté Des Sciences de Toulouse. Faculté des sciences de Toulouse, 2015.https://doi.org/10.5802/afst.1464 .